On weak differential uniformity of vectorial Boolean functions as a cryptographic criterion
This work addresses cryptographic security for block ciphers, but it appears incremental as it builds on a recently-introduced criterion without major breakthroughs.
The paper investigates the relationship between security parameters for vectorial Boolean functions, focusing on weak differential uniformity as a criterion to prevent undetectable trapdoors in block ciphers, and presents properties for functions with low weak differential uniformity, particularly for power functions and 4-bit S-Boxes.
We study the relation among some security parameters for vectorial Boolean functions which prevent attacks on the related block cipher. We focus our study on a recently-introduced security criterion, called weak differential uniformity, which prevents the existence of an undetectable trapdoor based on imprimitive group action. We present some properties of functions with low weak differential uniformity, especially for the case of power functions and 4-bit S-Boxes.